Fuzzy logic and vagueness

  • Truth is a matter of degree.
  • Continuum of truth-values represented by real numbers in the interval [0,1]
  • The conditional premise in the Sorites is not completely true.

@If a man with n hairs on his head is bald, then a man with n + 1 hairs on his head is also bald.@

Problems

  • Truth-value is still precise even if not identical to 1.
  • There is still a sharp line in moving from 1 to less than 1.

Category.LogicAndMaths